Questions on Geometry: Circles and their properties answered by real tutors!

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Question 1172143: what is the following equation of the circle when it is simplified (x-(-0.5))^2+(y-4)=2.5^2?

Click here to see answer by Theo(13342)

Question 1172143: what is the following equation of the circle when it is simplified (x-(-0.5))^2+(y-4)=2.5^2?

Click here to see answer by Edwin McCravy(20054)

Question 1172202: a triangular piece of gold foil is 4m on a side. Three 60 degree sectors of circles with radius 2m are cut from the foil. Find the amount of foil not used
Click here to see answer by ikleyn(52752)

Question 1172560: The sides of the triangle are 8 cm, 10cm, and 14 cm. respectively.
Find the radius of the circle which inscribed outside the triangle if it is tangent to the 8 cm. side.

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Question 1172672: How many points on a circle fit the equation x^2-2x+y^2-4y+9=0?
Click here to see answer by ikleyn(52752)

Question 1172987: Seward, Alaska is 180 degrees due west of St. Petersburg Russia. Both places are 60 degrees north of the equator. Calculate the distance between the two assuming a) we travel along the circle of latitude;
b) we travel along the circle that passes over the north pole.
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Question 1173055: If θ= 2π/3, then
sin(θ) equals:
cos(θ) equals:
tan(θ) equals:
sec(θ) equals:
Click here to see answer by ikleyn(52752)

Question 1173055: If θ= 2π/3, then
sin(θ) equals:
cos(θ) equals:
tan(θ) equals:
sec(θ) equals:
Click here to see answer by Theo(13342)

Question 1173060: Find the reference number for each value of t .
(a) If t=2π/3
the reference number is t=
Click here to see answer by Theo(13342)

Question 1173059: Find the terminal point P ( x , y ) on the unit circle determined by the given value of t:
If t=π/2, then x =
AND
y=
Click here to see answer by math_tutor2020(3816)

Question 1173225: What is the radius if the area of the circle is: 9(PI)

thank you

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Question 1173227: I just need to know if I am correct on my answers to the following questions.
What is the radius if the area of the circle is:
1. 16z^2(PI)
my answer is 4z

2. t^2(PI)
my answer is t

3. (PI)
my answer is 2
thank you
Click here to see answer by ikleyn(52752)

Question 1173326: In circle O, AX and BY intersect at E. If Angle BXY = 40°, Angle YBX = 55°, and intercepted arc BA = 70°. Find the measure of angle 1, angle 2, angle 3, angle 4, angle 5, angle 6
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Question 1173327: In circle O, AX and BY intersect at E. If Angle BXY = 40°, Angle YBX = 55°, and intercepted arc BA = 70°. Find the measure of arc AB, arc BX, arc YZ, arc AY, arc ABX

Click here to see answer by greenestamps(13195)

Question 1173448: The area of a circle is 100π cm². what is the circumference in centimeters? what is my answer in terms of π
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Question 1173446: the circumference of a circle is 22π m. What is the area in square meters? what is my answer in terms of π.
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Question 1173449: the radius of a circle is 3m what is the circumference in terms of π?
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Question 1173345: In a circle O, AX and BY intersect at E. If angle BXY = 40°, angle YBX = 55°, and arc BA = 70°, find the measure of angle BAX, angle XEY, angle XAY, angle AXB, angle AXY, and angle YBX
Click here to see answer by greenestamps(13195)

Question 1173910: What is the radius of a circle with an area of 144 pi?
The correct answer is 12 but I want to understand step by step of the formulas of how that is the correct answer please.
Click here to see answer by Boreal(15235)

Question 1173912: What is the radius of a circle with an area of 144 pi?
The correct answer is 12 but when I use the formula and divide 144 by pi (3.14), I get 45.8598726 and I don't understand how to get the square root from this big number that equals to 12?
Click here to see answer by ewatrrr(24785)

Question 1173763: In Circle F, CFD DFE, mBFA = 8x, mAFE = 5x + 11, and BE and AC are diameters.
Find x.
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Question 1174259: A rope fits tightly around two pulleys. What is the distance between the center of the pulleys if the radii of the bigger and smaller pulleys are 10cm and 6cm, respectively,and the portion of the rope tangent to the two pulleys is 50cm long?

Click here to see answer by ikleyn(52752)

Question 1174264: Mr. Nim designed an arch for the top of his main gate. The arch will be made out of bent iron. In the design, the 20 segments between the two concentric semicircles are each 0.5 meter long. Suppose the diameter of the outer semicircle is 10 meters. What is the length, in whole meters, of the shortest iron needed to make the arc?
Click here to see answer by greenestamps(13195)

Question 1174273: The diagonals of an isosceles trapezoid are congruent.
Given: Trapezoid PQSR with PR is congruent to QS. Prove that PS is congruent to QR.
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Question 1174272: If a line is perpendicular to a radius of a circle at its endpoint that is on the circle, then the line is tangent to the circle.

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Question 1174331: No other point of a tangent line other than the point of tangency lies on a circle

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Question 1174456: what are the center and the radius of a circle with the equation of (x+5)+(y-4)=81

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Question 1174631: Draw a circle with a radius of 4 inches. Label the center of the circle M. Create two intersecting chords that intersect inside the circle but not at point M. Label these chords and . Label the point of intersection as point A.

Click here to see answer by MathLover1(20849)

Question 1174708: the figure shows a circle with center c and radius 6. What is the sum of the areas of two shaded regions?
Click here to see answer by math_helper(2461)

Question 1174758: Suzzanne has a necklace with a circular pendant hanging from a chain
around her neck. The chain is tangent to the pendant. If the chain is
extended as shown in the diagram on the right, it forms an angle of 30°
below the pendant. What is the measure of the arc at the bottom of the
pendant?

Click here to see answer by Alan3354(69443)

Question 1175081: A rope is tightly around two pulleys. What is the distance between the centers of the pulleys if the radii of the bigger and smaller pulleys are 10cm and 6 cm, respectively, and the portion of the rope tangent to the pulleys is 50cm long?
Click here to see answer by ikleyn(52752)

Question 1175440: A secant and a tangent segment intersect in the exterior of a circle. A chord
which is a part of the secant is six more than the length of the tangent
segment and the external segment of the secant is 6cm. Find the length of the
tangent segment.
Click here to see answer by greenestamps(13195)

Question 1175506: Quadrilateral LUCK is inscribed in Circle S. If measure of angle LUC is equal to 96 and measure of angle UCK is equal to 77, find the measure of angle ULK.
Click here to see answer by ikleyn(52752)

Question 1175507: In circle S, what is RT if QS= 18 units and VW=4 units?
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Question 1175510: An arc of a circle measures 72 degrees. If the radius of the circle is 6cm, about how long is the arc?
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Question 1175509: A dart board has a diameter of 40cm and is divided into 20 congruent sectors. what is the area of one of the sectors?
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Question 1175508: In circle O, measure of HT=45 and the length of the radius is 8cm. What is the area of the shaded region in terms of π?
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Question 1175675: In circle U,what is measure of angle PRE if measure of PUE =56?
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Question 1175677: In the figure, SY and EY are secants. If SY= 15cm, TY=6cm,and LY=8cm, what is the length of EY?
Click here to see answer by greenestamps(13195)

Question 1175693: TA and HA are secants. If TA=18cm,LA=8cm,and AE= 10cm, what is the length of AH in the figure?
Click here to see answer by greenestamps(13195)

Question 1175674: In the figure, measure of XY=150 and measure of MN=30, what is measure of angle XPY?
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Question 1175679: In circle F, AG is a diameter. What is measure of AD if measure of DFG=65?
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